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2111031220 = 2252910133593
BaseRepresentation
bin111110111010011…
…1100011110110100
312110010021111102111
41331310330132310
513310410444340
6545250420404
7103212316654
oct17564743664
95403244374
102111031220
11993693001
124aab91704
13278480bcc
1416051c364
15c54e5aea
hex7dd3c7b4

2111031220 has 48 divisors (see below), whose sum is σ = 4591838160. Its totient is φ = 814263296.

The previous prime is 2111031187. The next prime is 2111031227. The reversal of 2111031220 is 221301112.

It can be written as a sum of positive squares in 8 ways, for example, as 525876624 + 1585154596 = 22932^2 + 39814^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2111031220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111031227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585744 + ... + 589336.

It is an arithmetic number, because the mean of its divisors is an integer number (95663295).

Almost surely, 22111031220 is an apocalyptic number.

2111031220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295919080).

2111031220 is an abundant number, since it is smaller than the sum of its proper divisors (2480806940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111031220 is a wasteful number, since it uses less digits than its factorization.

2111031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2111031220 is about 45945.9597788532. The cubic root of 2111031220 is about 1282.8175280619.

Adding to 2111031220 its reverse (221301112), we get a palindrome (2332332332).

The spelling of 2111031220 in words is "two billion, one hundred eleven million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1013 2026 3593 4052 5065 7186 10130 14372 17965 20260 29377 35930 58754 71860 104197 117508 146885 208394 293770 416788 520985 587540 1041970 2083940 3639709 7279418 14558836 18198545 36397090 72794180 105551561 211103122 422206244 527757805 1055515610 2111031220